To determine whether y varies directly with x, we check if the ratio of y to x remains constant. In other words, if y = kx, where k is the constant of variation.
If the ratio of y to x is constant for different values of x, then y varies directly with x.
To find the constant of variation k, we divide any y-value by the corresponding x-value and check if the ratio remains constant.
If the ratio remains constant, we can write the equation as y = kx, where k is the constant of variation.
If the ratio does not remain constant for different values of x, then y does not vary directly with x.
Without specific values for y and x, it is not possible to find the constant of variation k or write the equation.
determine whether y varies directly with x, if so, find the constant of variation k and write the equation.
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